How do I deal with being indispensable at work but invisible?

You make meetings run so well that no one notices the work, and that is a lonely place. Being indispensable and invisible at the same time is a real ache. Your resentment is not petty. It is a signal that your effort deserves to be seen. The irony is that the smoother your work, the less visible it becomes. When nothing goes wrong, people assume nothing was hard. That is not fair, but it is the nature of good behind-the-scenes work, and knowing that can take some of the sting out of it. Start making your work quietly visible. A short note after an event, a line in a summary: here is what it took. Not to boast, but so your contribution has a name. And decide for yourself what you need, recognition or a different role, and ask for it plainly.